HMC MATH 60

Lecture Notes

In addition to the course text, there are at least three other sources of notes. First, there are Multivariable Calculus lecture notes from Prof Karp. Also, there are lecture notes from students in two previous versions of Summer Math 60. Lastly, Prof Yong's lecture will also be made available. Prof Karp's and previous students' notes are latex and are posted on this page below. Prof Yong's notes will be made available in the Resources section of our Sakai site.

Karp Notes

Below is a list of abbreviated notes in Multivariable Calculus. They do not correspond lecture for lecture to this course, but are posted here as an additional resource. These notes are not necessarily complete and may contain typos (please let me know if you find them!).

Lecture 1. Lines in space.
Lecture 2. Lines continued, and the dot product.
Lecture 3. Dot product continued and the cross product.
Lectures 4 and 5. Planes in space and functions of several variables.
Lecture 6. Partial derivatives, tangent planes and linear approximations.
Lecture 7. Derivatives of scalar valued functions.
Lecture 8. The derivative matrix.
Lecture 9. Higher partial derivatives and the chain rule.
Lecture 11. Paths and arclength.
Lecture 12. Vector Fields, Div, Grad and Curl.
Lecture 15. Triple integrals and volume.
Lecture 16. Cylindrical and spherical coordinates.
Lecture 17. Line integrals.
Lecture 18. Integrating vector fields and Green's Theorem.
Lecture 19. The Fundamental Theorem of Line Integrals.
Lecture 20. Consequences of FTLI.

Student Notes

As with the above, these student notes may have (many) typo's, so beware (e.g. Karp \neq Carp).

Jaron Kent-Dobias, 2011. pdf
Jacob Peacock, 2012. pdf

Yong Notes

Only available to HMC students via Sakai (and please don't distribute without permission).